105240492 has 96 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 29764800.

The previous prime is 105240467. The next prime is 105240493. The reversal of 105240492 is 294042501.

It is a super-2 number, since 2×105240492² = 22151122312804128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105240493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80242 + ... + 81542.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^105240492 is an apocalyptic number.

105240492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105240492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

105240492 is an abundant number, since it is smaller than the sum of its proper divisors (209739348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105240492 is a wasteful number, since it uses less digits than its factorization.

105240492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105240492 is about 10258.6788623097. The cubic root of 105240492 is about 472.1293036052.

Adding to 105240492 its reverse (294042501), we get a palindrome (399282993).

The spelling of 105240492 in words is "one hundred five million, two hundred forty thousand, four hundred ninety-two".